SOLUTION: A baker wants to mix white chocolate with dark chocolate for a new cookie recipe. The white chocolate is worth $4 per pound and the dark chocolate is worth $7 per pound. They need

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Question 1025332: A baker wants to mix white chocolate with dark chocolate for a new cookie recipe. The white chocolate is worth $4 per pound and the dark chocolate is worth $7 per pound. They need 6 pounds of the chocolate mixture that is worth $5 per pound. How many pounds of chocolate should be added to the mixture?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of white chocolate needed
Let +b+ = pounds of dark chocolate needed
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(1) +a+%2B+b+=+6+
(2) +%28+4a+%2B+7b+%29+%2F+6+=+5+
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(2) +4a+%2B+7b+=+30+
Multiply both sides of (1) by +4+ and
subtract (1) from (2)
(2) +4a+%2B+7b+=+30+
(1) +-4a+-+4b+=+-24+
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+3b+=+6+
+b+=+2+
and
(1) +a+%2B+b+=+6+
(1) +a+=+4+
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4 pounds of white chocolate are needed
2 pounds of dark chocolate are needed
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check:
(2) +%28+4a+%2B+7b+%29+%2F+6+=+5+
(2) +%28+4%2A4+%2B+7%2A2+%29+%2F+6+=+5+
(2) +%28+16+%2B+14+%29+%2F+6+=+5+
(2) +30+=+30+
OK